MNRAS 491, 4345–4364 (2020) doi:10.1093/mnras/stz3143 Advance Access publication 2019 November 12 Pulsation and rotation in NGC 6811: the Kepler short-cadence stars E. Rodr´ıguez ,1‹ L. A. Balona ,2‹ M. J. Lopez-Gonz´ alez,´ 1‹ S. Ocando,1 S. Mart´ın-Ruiz1 and C. Rodr´ıguez-Lopez´ 1 Downloaded from https://academic.oup.com/mnras/article-abstract/491/3/4345/5622881 by Universidad de Granada - Biblioteca user on 29 April 2020 1Instituto de Astrof´ısica de Andaluc´ıa, CSIC, PO Box 3004, E-18080 Granada, Spain 2South African Astronomical Observatory, PO Box 9, Observatory, Cape 2735, South Africa Accepted 2019 November 6. Received 2019 November 6; in original form 2019 September 11 ABSTRACT We have analysed a selected sample of 36 Kepler short-cadence stars in the field of NGC 6811. The results reveal that all the targets are variable: two red giant stars with solar-like oscillations, 21 main-sequence pulsators (16 δ Scuti and five γ Doradus stars), and 13 rotating variables. Three new γ Doradus (γ Dor) variables (one is a hot γ Dor star) are detected in this work together with five new rotating variables. An in-depth frequency analysis of the δ Scuti (δ Sct) and γ Dor stars in the sample shows that the frequency spectra are very rich, in particular for the δ Sct-type variables. They present very dense frequency distributions and wide diversity in frequency patterns, even for stars being members of the cluster and with very similar location in the Hertzsprung–Russell (H–R) diagram. Rotational modulation is found for a high percentage of these main-sequence pulsating stars, which is an indication of stellar activity being common on the surfaces of these hot stars. In some cases, activity dominates the luminosity variations. Significant amplitude variability is also detected in at least some of the pulsation modes of highest amplitude in almost all the δ Sct stars. One of the δ Sct pulsators is a member of a binary system with the pulsating component tidally distorted. This system also shows strong stellar activity, including several flares that probably originate in the δ Sct component. Key words: binaries: general – stars: oscillations – stars: rotation – stars: variables: δ Scuti – stars: variables: general. Before the advent of high-precision photometry from space, it 1 INTRODUCTION was thought that the high frequencies in δ Sctweredrivenbythe Our knowledge of stellar pulsation has rapidly advanced with κ mechanism operating in the He II ionization zone (Pamyatnykh the advent of space missions, particularly Kepler (Borucki et al. 2000). For γ Dor stars, the driving mechanism was thought to be 2010;Kochetal.2010), owing to the exceptional quality of convective flux blocking near the base of the convective envelope the photometric time series. Kepler obtained almost uninterrupted (Guzik et al. 2000). Stars showing both low and high frequencies photometry for over 150 000 stars brighter than 16 mag, with a (the γ Dor/δ Sct hybrids) could be explained using time-dependent 29.4 min cadence over a 4-yr time span. These are long-cadence perturbation models (Dupret et al. 2004;Grigahcene` et al. 2005). (LC) observations. In addition, light curves with a cadence of about Besides, only a few hybrids were known, which appeared to be 1 min (short-cadence, SC, observations) are available for a few located between the δ Sct and γ Dor instability regions. thousand stars, but these typically cover a time span of only a few Nowadays, it is known that at least 98 per cent of δ Sct stars are months. hybrids (Balona 2014a, 2018c). Therefore, it no longer makes sense The γ Doradus (γ Dor) and δ Scuti (δ Sct) stars are A2–F5 dwarf to use the term ‘hybrid’. Furthermore, less than half of the stars in and giants that pulsate with multiple frequencies. The δ Sct stars the δ Sct instability strip seem to pulsate. Besides, the region where pulsate with typical frequencies in the range 5–50 d−1, while the γ Dor stars are to be found contains a mixture of γ Dor, δ Sct, and γ Dor stars pulsate in the 0–5 d−1 range. Both types of pulsating constant stars (Balona 2018c). It seems that γ Dor stars are just stars occupy a region of the instability strip that is an extension of δ Sct stars in which the high frequencies are suppressed for a reason the Cepheid instability strip towards lower luminosities. The γ Dor that is still unknown. The frequency content and distribution in δ Sct stars populate a much smaller region near the cool end of the δ Sct and γ Dor stars varies widely even for stars with the same effective instability strip. temperature and luminosity (Balona, Daszynska-Daszkiewicz´ & Pamyatnykh 2015; Balona 2018c). Taking into account all the accumulated observational evidence, it E-mail: [email protected] (ER); [email protected] (LAB); [email protected] (MJL-G) is clear that we need a new description of the pulsation mechanisms. C 2019 The Author(s) Published by Oxford University Press on behalf of the Royal Astronomical Society 4346 E. Rodr´ıguez et al. The κ mechanism cannot account for low frequencies in δ Sct stars, et al. 2017) for 1 Gyr, Z = 0.012, is shown. This age is in very good and the convective flux blocking mechanism does not explain why agreement with earlier estimates (e.g. Janes et al. 2013; Yontan et al. δ Sct and γ Dor stars occupy the same region of the instability strip. 2015). Neither mechanism can explain why there are so many constant stars Table 1 lists information for these stars including parameters in the instability region. Clearly, the frequencies are very sensitive to derived from the literature. Effective temperatures are from Mathur conditions in the outer atmosphere, which vary from star to star. The et al. (2017), whereas the luminosities are determined either from most sophisticated currently available models are those of Xiong Gaia Data Release 2 (DR2) parallaxes (Gaia Collaboration et al. Downloaded from https://academic.oup.com/mnras/article-abstract/491/3/4345/5622881 by Universidad de Granada - Biblioteca user on 29 April 2020 et al. (2016). They suggest that convection plays an important role, 2016, 2018) (see Appendix A) or else from the Kepler Input Cat- even in the hottest stars, but the models are still unable to match the alogue (KIC) radius (Mathur et al. 2017). Regarding membership, observations. we follow the method of Curtis et al. (2019) in using the Gaia Another result derived from Kepler observations is that a large DR2 proper motions and parallaxes to identify cluster members. fraction of A and B stars show frequencies consistent with rotational In general, there is good agreement with previous identifications modulation. Indeed, this is the most frequent variability encountered from other authors. The majority of the targets are confirmed among these stars (Balona 2013, 2016). Such variability implies members of NGC 6811. Four stars in our sample do not have Gaia the existence of star-spots or other obscuration corotating with the measurements: ID15, ID16, ID23, and ID35. ID23 is a probably star. This suggests the possible presence of surface magnetic fields, member of the cluster (Sanders 1971;Pena˜ et al. 2011), but there is although this contradicts our current understanding of stars with no reliable information in the literature for the others. radiative envelopes. The magnetic fields required for the production Most of the sample stars are already known as main-sequence of spots on the Sun and cool stars are thought to be generated by pulsators or rotational variables. Two stars, ID04 and ID10, are the dynamo mechanism. Since this requires convection in the outer known to be red giants showing solar-like oscillations (Stello et al. layers of a star, current models cannot account for the presence of 2011b; Molenda-Zakowicz˙ et al. 2014). For a few stars no variability magnetic fields in the radiative envelopes of A and B stars. The information exists in the literature. failure of current models to explain pulsations in δ Sct and γ Dor Fig. 1 shows that all the δ Sct and γ Dor stars in the sample stars, the presence of rotational modulation in A and B stars, the lie well inside the observational region expected for both types large fraction of constant stars in the δ Sct instability strip, etc. of pulsators, except for ID34. This star is revealed as a likely new all suggest that a major revision of our current understanding of pulsator in the low-frequency domain, typical of the g-mode regime, early-type stars is required. but it is located in the hotter part of the Hertzsprung–Russell (H–R) For this reason, it is important to study δ Sct and γ Dor stars diagram, outside the typical γ Dor region. In fact, ID34 appears as in open clusters. One may presume that the ages and chemical the hottest star in our sample, probably belonging to the group of composition of these stars are the same, and in this way we eliminate the rather rare hot γ Dor stars discussed in Balona et al. (2016). the effect of these variables. NGC 6811, with an age of about 1 Gyr The location of ID36 is also interesting, with (Teff = 7450 K, (Meibom et al. 2011), is one of four open clusters in the field of log L/L = 1.76), which is consistent with the parameters derived view of the original Kepler space mission, together with NGC 6866 from uvbyβ photometry in Pena˜ et al.